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Charpy impact test pendulums are used to determine the amount of energy a test specimen absorbs during an impact (see ASTM Standard E23). The hammer weighs 71.2 lbs and has a mass moment of inertia about its center of gravity GH of 20.9 slug·in of 20.9 slug·in 2. The arm weighs 19.5 lbs and has a mass moment of inertia about its own center of gravity . The arm weighs 19.5 lbs and has a mass moment of inertia about its own center of gravity G.A of 47.1 slug·in 2. The pendulum is released from rest from an initial position of 0 = 39°. Knowing that the friction at pin O is negligible, determine (a) the impact speed when the hammer hits the test specimen, (b) the force on the pin O just before the hammer hits the test specimen,(c) the amount of energy that the test specimen absorbs if the hammer swings up to a maximum of φ = 70° after the impact.
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